{"id":"https://openalex.org/W4367154224","doi":"https://doi.org/10.1007/978-3-031-31435-3_20","title":"Affine Moment Invariants of\u00a0Tensor Fields","display_name":"Affine Moment Invariants of\u00a0Tensor Fields","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4367154224","doi":"https://doi.org/10.1007/978-3-031-31435-3_20"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-31435-3_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-31435-3_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022073855","display_name":"Jan Flusser","orcid":"https://orcid.org/0000-0003-3747-9214"},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Flusser","raw_affiliation_strings":["Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08, Praha 8, Czech Republic","Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182\u00a008, Praha\u00a08, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]},{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182\u00a008, Praha\u00a08, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043359383","display_name":"Tom\u00e1\u0161 Suk","orcid":"https://orcid.org/0000-0001-6737-0565"},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Tom\u00e1\u0161 Suk","raw_affiliation_strings":["Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08, Praha 8, Czech Republic","Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182\u00a008, Praha\u00a08, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]},{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182\u00a008, Praha\u00a08, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058195165","display_name":"Mat\u011bj L\u00e9bl","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Mat\u011bj L\u00e9bl","raw_affiliation_strings":["Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08, Praha 8, Czech Republic","Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182\u00a008, Praha\u00a08, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]},{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182\u00a008, Praha\u00a08, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063964395","display_name":"Roxana Bujack","orcid":"https://orcid.org/0000-0002-5479-3726"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roxana Bujack","raw_affiliation_strings":["Data Science at Scale Team, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM, 87545, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data Science at Scale Team, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM, 87545, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100330422","display_name":"Ibrahim Ibrahim","orcid":"https://orcid.org/0000-0003-3530-5165"},"institutions":[{"id":"https://openalex.org/I4210127955","display_name":"Institute of Clinical and Experimental Medicine","ror":"https://ror.org/036zr1b90","country_code":"CZ","type":"healthcare","lineage":["https://openalex.org/I4210127955"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ibrahim Ibrahim","raw_affiliation_strings":["MR Unit, Department of Diagnostic and Interventional Radiology, Institute for Clinical and Experimental Medicine IKEM, V\u00edde\u0148sk\u00e1 1958/9, 140 21, Praha 4, Czech Republic","MR Unit, Department of Diagnostic and Interventional Radiology, Institute for Clinical and Experimental Medicine IKEM, V\u00edde\u0148sk\u00e1 1958/9, 140\u00a021, Praha\u00a04, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MR Unit, Department of Diagnostic and Interventional Radiology, Institute for Clinical and Experimental Medicine IKEM, V\u00edde\u0148sk\u00e1 1958/9, 140 21, Praha 4, Czech Republic","institution_ids":["https://openalex.org/I4210127955"]},{"raw_affiliation_string":"MR Unit, Department of Diagnostic and Interventional Radiology, Institute for Clinical and Experimental Medicine IKEM, V\u00edde\u0148sk\u00e1 1958/9, 140\u00a021, Praha\u00a04, Czech Republic","institution_ids":["https://openalex.org/I4210127955"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043359383"],"corresponding_institution_ids":["https://openalex.org/I4210119419"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"299","last_page":"313"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.8540886640548706},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.6644516587257385},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6509202718734741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6145546436309814},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5746595859527588},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5575135946273804},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5547849535942078},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5498117804527283},{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.48619335889816284},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4691687226295471},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40484336018562317},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39164450764656067},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.34859079122543335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28944116830825806},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22046056389808655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15296363830566406},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.12468987703323364},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11991408467292786},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09606954455375671}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.8540886640548706},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.6644516587257385},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6509202718734741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6145546436309814},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5746595859527588},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5575135946273804},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5547849535942078},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5498117804527283},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.48619335889816284},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4691687226295471},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40484336018562317},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39164450764656067},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34859079122543335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28944116830825806},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22046056389808655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15296363830566406},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.12468987703323364},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11991408467292786},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09606954455375671},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-31435-3_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-31435-3_20","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W562575633","https://openalex.org/W1511186888","https://openalex.org/W1520203819","https://openalex.org/W1682463584","https://openalex.org/W1941705080","https://openalex.org/W1972649462","https://openalex.org/W1986438802","https://openalex.org/W2000215441","https://openalex.org/W2003318080","https://openalex.org/W2004006028","https://openalex.org/W2017388025","https://openalex.org/W2056668787","https://openalex.org/W2074505542","https://openalex.org/W2109307298","https://openalex.org/W2129824539","https://openalex.org/W2144974397","https://openalex.org/W2145933558","https://openalex.org/W2159498975","https://openalex.org/W2619256806","https://openalex.org/W2755484111","https://openalex.org/W2762594190","https://openalex.org/W2790749649","https://openalex.org/W2894843723","https://openalex.org/W3140358950","https://openalex.org/W3201961245","https://openalex.org/W4237818884"],"related_works":["https://openalex.org/W2060415987","https://openalex.org/W1603796495","https://openalex.org/W2028639695","https://openalex.org/W2018273323","https://openalex.org/W4235074964","https://openalex.org/W2158810451","https://openalex.org/W336908258","https://openalex.org/W4313033631","https://openalex.org/W1887380982","https://openalex.org/W2070502419"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
